CAT(0) HNN-extensions with non-locally connected boundary

DOI10.1016/S0166-8641(99)00169-8zbMath0977.20034OpenAlexW2058806024WikidataQ128116373 ScholiaQ128116373MaRDI QIDQ5928498

Michael L. Mihalik, Kim E. Ruane

Publication date: 1 October 2001

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00169-8

zbMATH Keywords

boundariesCAT(0) spacesfinitely generated groupsgeometric actionsHNN extensionslocal connectivitysemidirect products

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (3)

Accumulation points of the boundary of a CAT(0) space on which a group acts geometrically. ⋮ Homotopy of ends and boundaries of CAT(0) groups. ⋮ Connectedness properties and splittings of groups with isolated flats

Cites Work

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• Quadratic divergence of geodesics in CAT(0) spaces
• Complexes of nonpositive curvature for extensions of \(F_ 2\) by \(\mathbb{Z}\)

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